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Finding the Fourth Proportional to 1,408.95, 2,113.38 and 678.60

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Solution

The fourth proportional to 1,408.95, 2,113.38 and 678.60 is: 1,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.95 : 2,113.38 = 678.60 : x
  2. Step 2: Convert to fraction form
    1,408.95/2,113.38 = 678.60/x
  3. Step 3: Cross multiply
    1,408.95x = 2,113.38 × 678.60
  4. Step 4: Simplify right side
    1,408.95x = 1,434,139.67
  5. Step 5: Solve for x
    x = 1,434,139.67/1,408.95
  6. Step 6: Final answer
    x = 1,017.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.